You may also like

Getting an Angle

How can you make an angle of 60 degrees by folding a sheet of paper twice?

Convex Polygons

Show that among the interior angles of a convex polygon there cannot be more than three acute angles.

Bow Tie

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

Isosceles Meld

Age 11 to 14 Short Challenge Level:



In the diagram PQ = PR = RS.

 
If angle QPR is 36 degrees, find the size of angle QPT?

 



If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.